What is 742/608 Simplified? (Reduce 742/608 to Lowest Terms: 371/304)

Exact Answer

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Problem: Simplify 742/608 to Lowest Terms
Formula / Expression: 742/608 = 371/304
Final Answer: 1 67/304 (371/304)
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Step-by-Step Solution:

Step 1: Find the Factors of the Numerator and Denominator
List the positive factors of both numbers:
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
• Factors of 608: 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608
Working: GCD(742, 608) = 2

Step 2: Divide Both by the Greatest Common Divisor (GCD)
The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (608) by 2.
Working: 742 ÷ 2/608 ÷ 2 = 371/304

Step 3: Convert Improper Fraction to a Mixed Number
Because 371 is larger than 304, 371/304 can also be written as the mixed number 1 67/304.
Working: 371/304 = 1 67/304

Key Values:
- Simplified Fraction: 371/304
- Mixed Number Form: 1 67/304
- Decimal Value: 1.220395
- Percentage: 122.0395%

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Solved with FractionsCalc:
https://fractionscalc.com/simplify-742-608/
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742/608 = 371/304

Simplified Fraction

371/304

Mixed Number

1 67/304

Decimal Value

1.220395

Percentage

122.0395%

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Step-by-Step Solution: 742/608 = 371/304

Step 1

Find the Factors of the Numerator and Denominator

List the positive factors of both numbers:
• Factors of 742: 1, 2, 7, 14, 53, 106, 371, 742
• Factors of 608: 1, 2, 4, 8, 16, 19, 32, 38, 76, 152, 304, 608

GCD(742, 608) = 2

Step 2

Divide Both by the Greatest Common Divisor (GCD)

The Greatest Common Divisor (GCD) is 2. Divide both the numerator (742) and denominator (608) by 2.

742 ÷ 2/608 ÷ 2 = 371/304

Step 3

Convert Improper Fraction to a Mixed Number

Because 371 is larger than 304, 371/304 can also be written as the mixed number 1 67/304.

371/304 = 167/304

Visual Representation

The diagram below illustrates Simplify 742/608 visually:

Summary & Alternative Representations

Property / Format	Value
Lowest Terms Fraction	`371/304`
Mixed Number Form	`1 67/304`
Decimal Form	`1.220395`
Percentage	`122.0395%`

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Frequently Asked Questions

What is 742/608 in simplest form?

742/608 simplified to lowest terms is 371/304.

What is the GCD (GCF) of 742 and 608?

The Greatest Common Divisor (GCD) of 742 and 608 is 2.

What are equivalent fractions to 742/608?

Equivalent fractions to 742/608 include 742/608, 1113/912, and 1484/1216.